Geometry and Arithmetic

pp: 257–266

DOI: 10.4171/119-1/15

The intuitive definition of Du Bois singularities

Sándor J. Kovács[1]

(1) University of Washington, Seattle, USA

It is proved that for projective varieties having Du Bois singularities is equivalent to the condition that the coherent cohomology groups of the structure sheaf coincide with the appropriate Hodge components of the singular cohomology groups